in a class of students, the following data table summarizes how many students play an instrument or a sport…

in a class of students, the following data table summarizes how many students play an instrument or a sport. what is the probability that a student who plays a sport also plays an instrument?\n| |plays an instrument|does not play an instrument|\n|--|--|--|\n|plays a sport|4|3|\n|does not play a sport|14|8|

in a class of students, the following data table summarizes how many students play an instrument or a sport. what is the probability that a student who plays a sport also plays an instrument?\n| |plays an instrument|does not play an instrument|\n|--|--|--|\n|plays a sport|4|3|\n|does not play a sport|14|8|

Answer

Explanation:

Step1: Find number of students who play a sport

Add the number of students who play a sport and play an instrument and those who play a sport but don't play an instrument. $4 + 3=7$

Step2: Find number of students who play a sport and an instrument

It is 4.

Step3: Calculate the probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, favorable outcomes are students who play a sport and an instrument, and total outcomes are students who play a sport. $P=\frac{4}{7}$

Answer:

$\frac{4}{7}$